TSTP Solution File: SEV472^1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEV472^1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 09:43:19 EDT 2024
% Result : Theorem 0.12s 0.35s
% Output : Refutation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : SEV472^1 : TPTP v8.1.2. Released v7.0.0.
% 0.05/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri May 3 11:55:55 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.33 This is a TH1_THM_EQU_NAR problem
% 0.12/0.33 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.lqXe8OYaqj/Vampire---4.8_9287
% 0.12/0.35 % (9397)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on Vampire---4 for (3000ds/27Mi)
% 0.12/0.35 % (9395)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on Vampire---4 for (3000ds/183Mi)
% 0.12/0.35 % (9401)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on Vampire---4 for (3000ds/18Mi)
% 0.12/0.35 % (9396)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on Vampire---4 for (3000ds/4Mi)
% 0.12/0.35 % (9398)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on Vampire---4 for (3000ds/2Mi)
% 0.12/0.35 % (9399)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on Vampire---4 for (3000ds/2Mi)
% 0.12/0.35 % (9400)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on Vampire---4 for (3000ds/275Mi)
% 0.12/0.35 % Exception at run slice level% (9398)Instruction limit reached!
% 0.12/0.35 % (9398)------------------------------
% 0.12/0.35 % (9398)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.35 % (9398)Termination reason: Unknown
% 0.12/0.35 % (9398)Termination phase: Saturation
% 0.12/0.35
% 0.12/0.35 % (9398)Memory used [KB]: 5373
% 0.12/0.35 % (9398)Time elapsed: 0.003 s
% 0.12/0.35 % (9398)Instructions burned: 2 (million)
% 0.12/0.35 % (9398)------------------------------
% 0.12/0.35 % (9398)------------------------------
% 0.12/0.35
% 0.12/0.35 % (9399)Instruction limit reached!
% 0.12/0.35 % (9399)------------------------------
% 0.12/0.35 % (9399)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.35 % (9399)Termination reason: Unknown
% 0.12/0.35 % (9399)Termination phase: shuffling
% 0.12/0.35
% 0.12/0.35 % (9399)Memory used [KB]: 895
% 0.12/0.35 % (9399)Time elapsed: 0.002 s
% 0.12/0.35 % (9399)Instructions burned: 2 (million)
% 0.12/0.35 % (9399)------------------------------
% 0.12/0.35 % (9399)------------------------------
% 0.12/0.35 % (9396)Instruction limit reached!
% 0.12/0.35 % (9396)------------------------------
% 0.12/0.35 % (9396)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.35 % (9396)Termination reason: Unknown
% 0.12/0.35 % (9396)Termination phase: Saturation
% 0.12/0.35
% 0.12/0.35 % (9396)Memory used [KB]: 5500
% 0.12/0.35 % (9396)Time elapsed: 0.004 s
% 0.12/0.35 % (9396)Instructions burned: 4 (million)
% 0.12/0.35 % (9400)Refutation not found, incomplete strategy
% 0.12/0.35 % (9400)------------------------------
% 0.12/0.35 % (9400)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.35 % (9396)------------------------------
% 0.12/0.35 % (9396)------------------------------
% 0.12/0.35 % (9400)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.35
% 0.12/0.35
% 0.12/0.35 % (9400)Memory used [KB]: 5500
% 0.12/0.35 % (9400)Time elapsed: 0.002 s
% 0.12/0.35 % (9400)Instructions burned: 2 (million)
% 0.12/0.35 % (9400)------------------------------
% 0.12/0.35 % (9400)------------------------------
% 0.12/0.35 % (9397)First to succeed.
% 0.12/0.35 % (9402)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on Vampire---4 for (3000ds/3Mi)
% 0.12/0.35 % (9397)Refutation found. Thanks to Tanya!
% 0.12/0.35 % SZS status Theorem for Vampire---4
% 0.12/0.35 % SZS output start Proof for Vampire---4
% 0.12/0.35 thf(type_def_6, type, sK0: $tType).
% 0.12/0.35 thf(func_def_0, type, 'const/trivia/I': !>[X0: $tType]:(X0 > X0)).
% 0.12/0.35 thf(func_def_1, type, 'const/sets/SUBSET': !>[X0: $tType]:((X0 > $o) > (X0 > $o) > $o)).
% 0.12/0.35 thf(func_def_2, type, 'const/sets/SETSPEC': !>[X0: $tType]:(X0 > $o > X0 > $o)).
% 0.12/0.35 thf(func_def_3, type, 'const/sets/IN': !>[X0: $tType]:(X0 > (X0 > $o) > $o)).
% 0.12/0.35 thf(func_def_4, type, 'const/sets/GSPEC': !>[X0: $tType]:((X0 > $o) > X0 > $o)).
% 0.12/0.35 thf(func_def_5, type, 'const/sets/FINITE': !>[X0: $tType]:((X0 > $o) > $o)).
% 0.12/0.35 thf(func_def_7, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
% 0.12/0.35 thf(func_def_15, type, sK1: sK0 > $o).
% 0.12/0.35 thf(func_def_16, type, sK2: sK0 > $o).
% 0.12/0.35 thf(func_def_18, type, ph4: !>[X0: $tType]:(X0)).
% 0.12/0.35 thf(f32,plain,(
% 0.12/0.35 $false),
% 0.12/0.35 inference(trivial_inequality_removal,[],[f30])).
% 0.12/0.35 thf(f30,plain,(
% 0.12/0.35 ($true != $true)),
% 0.12/0.35 inference(superposition,[],[f20,f28])).
% 0.12/0.35 thf(f28,plain,(
% 0.12/0.35 ( ! [X0 : sK0 > $o] : (($true = ('const/sets/FINITE' @ sK0 @ ('const/sets/GSPEC' @ sK0 @ (^[Y0 : sK0]: (?? @ sK0 @ (^[Y1 : sK0]: ('const/sets/SETSPEC' @ sK0 @ Y0 @ ((X0 @ Y1) & ('const/sets/IN' @ sK0 @ Y1 @ sK1)) @ Y1)))))))) )),
% 0.12/0.35 inference(trivial_inequality_removal,[],[f27])).
% 0.12/0.35 thf(f27,plain,(
% 0.12/0.35 ( ! [X0 : sK0 > $o] : (($true != $true) | ($true = ('const/sets/FINITE' @ sK0 @ ('const/sets/GSPEC' @ sK0 @ (^[Y0 : sK0]: (?? @ sK0 @ (^[Y1 : sK0]: ('const/sets/SETSPEC' @ sK0 @ Y0 @ ((X0 @ Y1) & ('const/sets/IN' @ sK0 @ Y1 @ sK1)) @ Y1)))))))) )),
% 0.12/0.35 inference(superposition,[],[f25,f19])).
% 0.12/0.35 thf(f19,plain,(
% 0.12/0.35 (('const/sets/FINITE' @ sK0 @ sK1) = $true)),
% 0.12/0.35 inference(cnf_transformation,[],[f17])).
% 0.12/0.35 thf(f17,plain,(
% 0.12/0.35 ($true != ('const/sets/FINITE' @ sK0 @ ('const/sets/GSPEC' @ sK0 @ (^[Y0 : sK0]: (?? @ sK0 @ (^[Y1 : sK0]: ('const/sets/SETSPEC' @ sK0 @ Y0 @ ((sK2 @ Y1) & ('const/sets/IN' @ sK0 @ Y1 @ sK1)) @ Y1))))))) & (('const/sets/FINITE' @ sK0 @ sK1) = $true)),
% 0.12/0.35 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f15,f16])).
% 0.12/0.35 thf(f16,plain,(
% 0.12/0.35 ? [X0 : $tType,X1 : X0 > $o,X2 : X0 > $o] : (($true != ('const/sets/FINITE' @ X0 @ ('const/sets/GSPEC' @ X0 @ (^[Y0 : X0]: (?? @ X0 @ (^[Y1 : X0]: ('const/sets/SETSPEC' @ X0 @ Y0 @ ((X2 @ Y1) & ('const/sets/IN' @ X0 @ Y1 @ X1)) @ Y1))))))) & (('const/sets/FINITE' @ X0 @ X1) = $true)) => (($true != ('const/sets/FINITE' @ sK0 @ ('const/sets/GSPEC' @ sK0 @ (^[Y0 : sK0]: (?? @ sK0 @ (^[Y1 : sK0]: ('const/sets/SETSPEC' @ sK0 @ Y0 @ ((sK2 @ Y1) & ('const/sets/IN' @ sK0 @ Y1 @ sK1)) @ Y1))))))) & (('const/sets/FINITE' @ sK0 @ sK1) = $true))),
% 0.12/0.35 introduced(choice_axiom,[])).
% 0.12/0.35 thf(f15,plain,(
% 0.12/0.35 ? [X0 : $tType,X1 : X0 > $o,X2 : X0 > $o] : (($true != ('const/sets/FINITE' @ X0 @ ('const/sets/GSPEC' @ X0 @ (^[Y0 : X0]: (?? @ X0 @ (^[Y1 : X0]: ('const/sets/SETSPEC' @ X0 @ Y0 @ ((X2 @ Y1) & ('const/sets/IN' @ X0 @ Y1 @ X1)) @ Y1))))))) & (('const/sets/FINITE' @ X0 @ X1) = $true))),
% 0.12/0.35 inference(ennf_transformation,[],[f8])).
% 0.12/0.35 thf(f8,plain,(
% 0.12/0.35 ~! [X0 : $tType,X1 : X0 > $o,X2 : X0 > $o] : ((('const/sets/FINITE' @ X0 @ X1) = $true) => ($true = ('const/sets/FINITE' @ X0 @ ('const/sets/GSPEC' @ X0 @ (^[Y0 : X0]: (?? @ X0 @ (^[Y1 : X0]: ('const/sets/SETSPEC' @ X0 @ Y0 @ ((X2 @ Y1) & ('const/sets/IN' @ X0 @ Y1 @ X1)) @ Y1))))))))),
% 0.12/0.35 inference(fool_elimination,[],[f7])).
% 0.12/0.35 thf(f7,plain,(
% 0.12/0.35 ~! [X0 : $tType,X1 : X0 > $o,X2 : X0 > $o] : (('const/sets/FINITE' @ X0 @ X1) => ('const/sets/FINITE' @ X0 @ ('const/sets/GSPEC' @ X0 @ (^[X3 : X0] : (? [X4 : X0] : ('const/sets/SETSPEC' @ X0 @ X3 @ ('const/sets/IN' @ X0 @ X4 @ X1) & (X2 @ X4) @ X4))))))),
% 0.12/0.35 inference(rectify,[],[f5])).
% 0.12/0.35 thf(f5,negated_conjecture,(
% 0.12/0.35 ~! [X0 : $tType,X1 : X0 > $o,X3 : X0 > $o] : (('const/sets/FINITE' @ X0 @ X1) => ('const/sets/FINITE' @ X0 @ ('const/sets/GSPEC' @ X0 @ (^[X2 : X0] : (? [X4 : X0] : ('const/sets/SETSPEC' @ X0 @ X2 @ ('const/sets/IN' @ X0 @ X4 @ X1) & (X3 @ X4) @ X4))))))),
% 0.12/0.35 inference(negated_conjecture,[],[f4])).
% 0.12/0.35 thf(f4,conjecture,(
% 0.12/0.35 ! [X0 : $tType,X1 : X0 > $o,X3 : X0 > $o] : (('const/sets/FINITE' @ X0 @ X1) => ('const/sets/FINITE' @ X0 @ ('const/sets/GSPEC' @ X0 @ (^[X2 : X0] : (? [X4 : X0] : ('const/sets/SETSPEC' @ X0 @ X2 @ ('const/sets/IN' @ X0 @ X4 @ X1) & (X3 @ X4) @ X4))))))),
% 0.12/0.35 file('/export/starexec/sandbox2/tmp/tmp.lqXe8OYaqj/Vampire---4.8_9287','thm/sets/FINITE_RESTRICT_')).
% 0.12/0.35 thf(f25,plain,(
% 0.12/0.35 ( ! [X0 : $tType,X2 : X0 > $o,X1 : X0 > $o] : ((('const/sets/FINITE' @ X0 @ X2) != $true) | (('const/sets/FINITE' @ X0 @ ('const/sets/GSPEC' @ X0 @ (^[Y0 : X0]: (?? @ X0 @ (^[Y1 : X0]: ('const/sets/SETSPEC' @ X0 @ Y0 @ ((X1 @ Y1) & ('const/sets/IN' @ X0 @ Y1 @ X2)) @ Y1)))))) = $true)) )),
% 0.12/0.35 inference(trivial_inequality_removal,[],[f24])).
% 0.12/0.35 thf(f24,plain,(
% 0.12/0.35 ( ! [X0 : $tType,X2 : X0 > $o,X1 : X0 > $o] : (($true != $true) | (('const/sets/FINITE' @ X0 @ X2) != $true) | (('const/sets/FINITE' @ X0 @ ('const/sets/GSPEC' @ X0 @ (^[Y0 : X0]: (?? @ X0 @ (^[Y1 : X0]: ('const/sets/SETSPEC' @ X0 @ Y0 @ ((X1 @ Y1) & ('const/sets/IN' @ X0 @ Y1 @ X2)) @ Y1)))))) = $true)) )),
% 0.12/0.35 inference(superposition,[],[f18,f21])).
% 0.12/0.35 thf(f21,plain,(
% 0.12/0.35 ( ! [X0 : $tType,X2 : X0 > $o,X1 : X0 > $o] : (($true = ('const/sets/SUBSET' @ X0 @ ('const/sets/GSPEC' @ X0 @ (^[Y0 : X0]: (?? @ X0 @ (^[Y1 : X0]: ('const/sets/SETSPEC' @ X0 @ Y0 @ ((X2 @ Y1) & ('const/sets/IN' @ X0 @ Y1 @ X1)) @ Y1))))) @ X1))) )),
% 0.12/0.35 inference(cnf_transformation,[],[f10])).
% 0.12/0.35 thf(f10,plain,(
% 0.12/0.35 ! [X0 : $tType,X1 : X0 > $o,X2 : X0 > $o] : ($true = ('const/sets/SUBSET' @ X0 @ ('const/sets/GSPEC' @ X0 @ (^[Y0 : X0]: (?? @ X0 @ (^[Y1 : X0]: ('const/sets/SETSPEC' @ X0 @ Y0 @ ((X2 @ Y1) & ('const/sets/IN' @ X0 @ Y1 @ X1)) @ Y1))))) @ X1))),
% 0.12/0.35 inference(fool_elimination,[],[f9])).
% 0.12/0.35 thf(f9,plain,(
% 0.12/0.35 ! [X0 : $tType,X1 : X0 > $o,X2 : X0 > $o] : ('const/sets/SUBSET' @ X0 @ ('const/sets/GSPEC' @ X0 @ (^[X3 : X0] : (? [X4 : X0] : ('const/sets/SETSPEC' @ X0 @ X3 @ ('const/sets/IN' @ X0 @ X4 @ X1) & (X2 @ X4) @ X4)))) @ X1)),
% 0.12/0.35 inference(rectify,[],[f3])).
% 0.12/0.35 thf(f3,axiom,(
% 0.12/0.35 ! [X0 : $tType,X1 : X0 > $o,X3 : X0 > $o] : ('const/sets/SUBSET' @ X0 @ ('const/sets/GSPEC' @ X0 @ (^[X2 : X0] : (? [X4 : X0] : ('const/sets/SETSPEC' @ X0 @ X2 @ ('const/sets/IN' @ X0 @ X4 @ X1) & (X3 @ X4) @ X4)))) @ X1)),
% 0.12/0.35 file('/export/starexec/sandbox2/tmp/tmp.lqXe8OYaqj/Vampire---4.8_9287','thm/sets/SUBSET_RESTRICT_')).
% 0.12/0.35 thf(f18,plain,(
% 0.12/0.35 ( ! [X0 : $tType,X2 : X0 > $o,X1 : X0 > $o] : ((('const/sets/SUBSET' @ X0 @ X1 @ X2) != $true) | (('const/sets/FINITE' @ X0 @ X1) = $true) | (('const/sets/FINITE' @ X0 @ X2) != $true)) )),
% 0.12/0.35 inference(cnf_transformation,[],[f14])).
% 0.12/0.35 thf(f14,plain,(
% 0.12/0.35 ! [X0 : $tType,X1 : X0 > $o,X2 : X0 > $o] : ((('const/sets/SUBSET' @ X0 @ X1 @ X2) != $true) | (('const/sets/FINITE' @ X0 @ X2) != $true) | (('const/sets/FINITE' @ X0 @ X1) = $true))),
% 0.12/0.35 inference(flattening,[],[f13])).
% 0.12/0.35 thf(f13,plain,(
% 0.12/0.35 ! [X0 : $tType,X1 : X0 > $o,X2 : X0 > $o] : ((('const/sets/FINITE' @ X0 @ X1) = $true) | ((('const/sets/FINITE' @ X0 @ X2) != $true) | (('const/sets/SUBSET' @ X0 @ X1 @ X2) != $true)))),
% 0.12/0.35 inference(ennf_transformation,[],[f12])).
% 0.12/0.35 thf(f12,plain,(
% 0.12/0.35 ! [X0 : $tType,X1 : X0 > $o,X2 : X0 > $o] : (((('const/sets/FINITE' @ X0 @ X2) = $true) & (('const/sets/SUBSET' @ X0 @ X1 @ X2) = $true)) => (('const/sets/FINITE' @ X0 @ X1) = $true))),
% 0.12/0.35 inference(fool_elimination,[],[f11])).
% 0.12/0.35 thf(f11,plain,(
% 0.12/0.35 ! [X0 : $tType,X1 : X0 > $o,X2 : X0 > $o] : ((('const/sets/FINITE' @ X0 @ X2) & ('const/sets/SUBSET' @ X0 @ X1 @ X2)) => ('const/sets/FINITE' @ X0 @ X1))),
% 0.12/0.35 inference(rectify,[],[f2])).
% 0.12/0.35 thf(f2,axiom,(
% 0.12/0.35 ! [X0 : $tType,X1 : X0 > $o,X2 : X0 > $o] : ((('const/sets/FINITE' @ X0 @ X2) & ('const/sets/SUBSET' @ X0 @ X1 @ X2)) => ('const/sets/FINITE' @ X0 @ X1))),
% 0.12/0.35 file('/export/starexec/sandbox2/tmp/tmp.lqXe8OYaqj/Vampire---4.8_9287','thm/sets/FINITE_SUBSET_')).
% 0.12/0.35 thf(f20,plain,(
% 0.12/0.35 ($true != ('const/sets/FINITE' @ sK0 @ ('const/sets/GSPEC' @ sK0 @ (^[Y0 : sK0]: (?? @ sK0 @ (^[Y1 : sK0]: ('const/sets/SETSPEC' @ sK0 @ Y0 @ ((sK2 @ Y1) & ('const/sets/IN' @ sK0 @ Y1 @ sK1)) @ Y1)))))))),
% 0.12/0.35 inference(cnf_transformation,[],[f17])).
% 0.12/0.35 % SZS output end Proof for Vampire---4
% 0.12/0.35 % (9397)------------------------------
% 0.12/0.35 % (9397)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.12/0.35 % (9397)Termination reason: Refutation
% 0.12/0.35
% 0.12/0.35 % (9397)Memory used [KB]: 5500
% 0.12/0.35 % (9397)Time elapsed: 0.007 s
% 0.12/0.35 % (9397)Instructions burned: 8 (million)
% 0.12/0.35 % (9397)------------------------------
% 0.12/0.35 % (9397)------------------------------
% 0.12/0.35 % (9394)Success in time 0.016 s
% 0.12/0.35 % Vampire---4.8 exiting
%------------------------------------------------------------------------------